Answer:
4.92 cents
Step-by-step explanation:
The Price to Earnings or P/E is the ratio of the price of its stock to its yearly earnings expressed as dividends.
The price of a stock is $36 and it's earnings are $3.00
This means the price to earnings ratio,
P/E = 36/3 = 6
Let us express this ratio as percentage. This becomes
36/3 ×100 = 1200%
This means the ratio of price to earnings = 1200%
For an increase of 20%, the ratio of price to earnings will be = 1200 + 20 = 1220%.
Let x be the the value of earnings that would increase the ratio by 20%
36/3 × 100 = 1200%
36/x × 100 = 1220℅
3600/x = 1220
x = 3600/1220 = $2.9508
The amount by which the earnings must decrease in order that the P/E ratio increases by 20% will be
$3 - $2.9508 = $0.0492.
Converting to cents, we multiply by 100. It becomes
0.0492×100 = 4.92 cents
Answer:
the answer here is C) translation, then reflection
Step-by-step explanation:
if you translate point P to point R and then translate across that point they map onto each other
A) set x as the number of cameras
18x=9x+1800
9x=1800
x=200
b) i'm assuming it's increasing production from my answer in a, so the profit would be 18(250)-(9*250+1800)=4500-4050=450
Answer:
<h2>√512 by √512 </h2>
Step-by-step explanation:
Length the length and breadth of the rectangle be x and y.
Area of the rectangle A = Length * breadth
Perimeter P = 2(Length + Breadth)
A = xy and P = 2(x+y)
If the area of the rectangle is 512m², then 512 = xy
x = 512/y
Substituting x = 512/y into the formula for calculating the perimeter;
P = 2(512/y + y)
P = 1024/y + 2y
To get the value of y, we will set dP/dy to zero and solve.
dP/dy = -1024y⁻² + 2
-1024y⁻² + 2 = 0
-1024y⁻² = -2
512y⁻² = 1
y⁻² = 1/512
1/y² = 1/512
y² = 512
y = √512 m
On testing for minimum, we must know that the perimeter is at the minimum when y = √512
From xy = 512
x(√512) = 512
x = 512/√512
On rationalizing, x = 512/√512 * √512 /√512
x = 512√512 /512
x = √512 m
Hence, the dimensions of a rectangle is √512 m by √512 m
